Pith Number

pith:B4PQ3KFF

pith:2016:B4PQ3KFFGODVJ6RA5HK2BBURCL

not attested not anchored not stored refs pending

Cospectral lifts of graphs

F. Ramezani

arxiv:1601.02354 v1 · 2016-01-11 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4PQ3KFFGODVJ6RA5HK2BBURCL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:06.641638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f

Aliases

arxiv: 1601.02354 · arxiv_version: 1601.02354v1 · doi: 10.48550/arxiv.1601.02354 · pith_short_12: B4PQ3KFFGODV · pith_short_16: B4PQ3KFFGODVJ6RA · pith_short_8: B4PQ3KFF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B4PQ3KFFGODVJ6RA5HK2BBURCL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0f1f0da8a5338754fa20e9d5a0869112c0d19112c5b9af21014f6746f6907d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4847feed0ae330a21bb8e312e0993d52a15bcc40834a06a7ed8b4c3334dbc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-11T08:05:11Z",
    "title_canon_sha256": "0698c48b2089d700a1df530bf2a22f6496d30f50e3c28f7296f94a753ed60389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02354",
    "kind": "arxiv",
    "version": 1
  }
}